A study of structure functions with the DGLAP: equations at small x with O(x) and O(x ² )

2016/12/27 by Luxmi Machahari, Machahari, Luxmi, D. K. Choudhury +3
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1612.08576

Abstract

We obtain a pair of second order differential equations in two variables x and t from the coupled DGLAP QCD evolution equations at small x using the standard Taylor series expansion method.To that end we keep terms upto O(x² ).We use the standard assumption about the relationship between the singlet Structure Function and the gluon distributions available in current literature. We solve the taylor approximated O(x) DGLAP equations by Lagrange's auxiliary method and O(x²) equation by Method of Separation of Variables and then show that the two solutions obtained in each for O(x) and O(x²) are not identical in general.Analysis of the results obtained are done in the range of the recent HERA data.

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